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\begin{equation}
\begin{aligned}
&amp;\frac{\textrm{d} y}{\textrm{d} x}=-\frac{y-3}{2} \rightarrow \frac{1}{y-3} \frac{\textrm{d} y}{\textrm{d} x}=-\frac{1}{2}\rightarrow  \frac{\textrm{d}}{\textrm{d} x} \ln |y-3|=-\frac{1}{2},\\
&amp;\rightarrow \ln |y-3|=-\frac{1}{2} x+C_1 \rightarrow |y-3|=e^{C_1} e^{-\frac{1}{2}x}\\
&amp;\rightarrow y-3=\uuline{\pm e^{C_1}}~ e^{-\frac{1}{2}x} \rightarrow y=3+C e^{-\frac{1}{2}x},
\end{aligned}\tag{2.1.4}
\end{equation}
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